Answer:
x = 20
Step-by-step explanation:
Given:
AB , CD, EF are straight lines
To Find:
Find the value of x
Solve:
Let the point of intersection of the lines AB, CD and EF be O.
Therefore, {Opposite angles }
∠ [tex]AOE=[/tex] ∠ [tex]BOF=3x^o[/tex]
∠[tex]COF=[/tex] ∠ [tex]EOD=4x^o[/tex]
∠[tex]BOD=[/tex] ∠ [tex]AOC=2x^o[/tex]
Note:
Sum of all angles = 360 degree
Since we know that sum of all angles equals to 360 degree.
Hence,
[tex]2(2x ^o )+2(4x ^o )+2(3x ^o )=360 ^o[/tex] {Simplify}
[tex]18x^o=360^o[/tex] {Divide each side by 18}
[tex]x=20[/tex]
So the value of x equal 20
Kavinsky~
